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The Navier--Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture of inelastic hard spheres are determined from the Boltzmann kinetic equation. A normal or hydrodynamic solution to the…

Soft Condensed Matter · Physics 2021-02-25 Vicente Garzó , Ricardo Brito , Rodrigo Soto

We calculate in this work the Navier-Stokes transport coefficients from the Boltzmann equation for $d$-dimensional inelastic Maxwell models. By granular gas we mean here a low density system of identical spheres that lose a fraction of…

Statistical Mechanics · Physics 2015-06-18 Moisés G. Chamorro , Vicente Garzó , Francisco Vega Reyes

The Navier-Stokes transport coefficients for binary mixtures of smooth inelastic hard disks or spheres under gravity are determined from the Boltzmann kinetic theory by application of the Chapman-Enskog method for states near the local…

Statistical Mechanics · Physics 2009-11-11 Vicente Garzo , Jose Maria Montanero

The Boltzmann equation for $d$-dimensional inelastic Maxwell models is considered to analyze transport properties for monodisperse gas-solid suspensions. The influence of the interstitial gas phase on the dynamics of solid particles is…

Statistical Mechanics · Physics 2015-12-03 Aleksander Kubicki , Vicente Garzó

Hydrodynamic equations for a binary mixture of inelastic Maxwell models described by the Boltzmann equation are derived. The Navier-Stokes transport coefficients are {\em exactly} obtained by solving the Boltzmann equation from the…

Statistical Mechanics · Physics 2007-05-23 Vicente Garzo , Jose Maria Montanero

The Boltzmann equation for d-dimensional inelastic Maxwell models is considered to analyze transport properties in spatially inhomogeneous states close to the simple shear flow. A normal solution is obtained via a Chapman--Enskog--like…

Statistical Mechanics · Physics 2009-11-13 Vicente Garzo

This work derives the Navier--Stokes hydrodynamic equations for a model of a confined, quasi-two-dimensional, $s$-component mixture of inelastic, smooth, hard spheres. Using the inelastic version of the revised Enskog theory, macroscopic…

Soft Condensed Matter · Physics 2026-03-27 David González Méndez , Vicente Garzó

The Boltzmann equation for inelastic and rough hard spheres is considered as a model of a dilute granular gas. In this model, the collisions are characterized by constant coefficients of normal and tangential restitution and hence the…

Statistical Mechanics · Physics 2014-09-03 Gilberto M. Kremer , Andrés Santos , Vicente Garzó

The Boltzmann equation framework for inelastic Maxwell models is considered to determine the transport coefficients associated with the mass, momentum and heat fluxes of a granular binary mixture in spatially inhomogeneous states close to…

Statistical Mechanics · Physics 2015-11-13 Vicente Garzó , Emmanuel Trizac

The Navier-Stokes transport coefficients of a granular gas are obtained from the Chapman-Enskog solution to the Boltzmann equation. The granular gas is heated by the action of an external driving force (thermostat) which does work to…

Statistical Mechanics · Physics 2009-11-07 V. Garzo , J. M. Montanero

The transport coefficients of a granular binary mixture driven by a stochastic bath with friction are determined from the inelastic Boltzmann kinetic equation. A normal solution is obtained via the Chapman-Enskog method for states near…

Statistical Mechanics · Physics 2013-11-20 Nagi Khalil , Vicente Garzó

Hydrodynamic equations for a binary mixture of inelastic hard spheres are derived from the Boltzmann kinetic theory. A normal solution is obtained via the Chapman-Enskog method for states near the local homogeneous cooling state. The mass,…

Soft Condensed Matter · Physics 2009-11-07 Vicente Garzó , J. W. Dufty

The Boltzmann equation for inelastic Maxwell models is used to analyze nonlinear transport in a granular binary mixture in the steady simple shear flow. Two different transport processes are studied. First, the rheological properties (shear…

Statistical Mechanics · Physics 2016-08-31 Vicente Garzo

Transport coefficients associated with the mass flux of a binary mixture of Maxwell molecules under uniform shear flow are exactly determined from the Boltzmann kinetic equation. A normal solution is obtained via a Chapman--Enskog-like…

Statistical Mechanics · Physics 2009-11-13 Vicente Garzo

A hydrodynamic description for inelastic Maxwell mixtures driven by a stochastic bath with friction is derived. Contrary to previous works where constitutive relations for the fluxes were restricted to states near the homogeneous steady…

Statistical Mechanics · Physics 2020-06-17 Nagi Khalil , Vicente Garzó

Granular gaseous mixtures under rapid flow conditions are usually modeled by a multicomponent system of smooth inelastic hard spheres with constant coefficients of normal restitution. In the low density regime an adequate framework is…

Statistical Mechanics · Physics 2009-11-13 Francisco Vega Reyes , Vicente Garzo , Andres Santos

We evaluate in this work the hydrodynamic transport coefficients of a granular binary mixture in $d$ dimensions. In order to eliminate the observed disagreement (for strong dissipation) between computer simulations and previously calculated…

Soft Condensed Matter · Physics 2009-11-13 Vicente Garzó , Francisco Vega Reyes , José María Montanero

Due to the mathematical complexity of the Boltzmann equation for inelastic hard spheres, a kinetic model has recently been proposed whereby the collision rate (which is proportional to the relative velocity for hard spheres) is replaced by…

Statistical Mechanics · Physics 2007-05-23 Andres Santos

Mass transport of a driven granular binary mixture is analyzed from the inelastic Boltzmann kinetic equation for inelastic Maxwell models (IMM). The mixture is driven by a thermostat constituted by two terms: a stochastic force and a drag…

Statistical Mechanics · Physics 2018-09-18 Nagi Khalil , Vicente Garzó

The Navier-Stokes transport coefficients for a model of a confined quasi-two-dimensional granular gas of smooth inelastic hard spheres are derived from the Enskog kinetic equation. A normal solution to this kinetic equation is obtained via…

Statistical Mechanics · Physics 2026-02-26 Vicente Garzó , Ricardo Brito , Rodrigo Soto
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